Final answer to the problem
Step-by-step Solution
Specify the solving method
Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{x+a}-\sqrt{a}}{x}\right)$ by replacing all occurrences of $x$ by $0$
Learn how to solve limits by direct substitution problems step by step online.
$\frac{\sqrt{0+a}-\sqrt{a}}{0}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim(((x+a)^1/2-a^1/2)/x). Evaluate the limit \lim_{x\to0}\left(\frac{\sqrt{x+a}-\sqrt{a}}{x}\right) by replacing all occurrences of x by 0. x+0=x, where x is any expression. Cancel like terms \sqrt{a} and -\sqrt{a}. \frac{0}{0} represents an indeterminate form.